Finding the Third Proportional to 21,284 and 46,298

Step by Step Solution

1. Step 1: Write the proportion equation
   21,284 : 46,298 = 46,298 : x
2. Step 2: Convert to fraction form
   21,284/46,298 = 46,298/x
3. Step 3: Cross multiply
   21,284x = 46,298 × 46,298
4. Step 4: Simplify right side
   21,284x = 2,143,504,804
5. Step 5: Solve for x
   x = 2,143,504,804/21,284
6. Step 6: Final answer
   x = 100,709.68